Question

At the gas station the equation c=2.80g gives the relationship .....

Answer 1

Answer:

$\ 0.52\ per\ gallon$

Step-by-step explanation:

Let

g ----> number of gallons of gasoline

c ---> the total cost in dollars

we have

First gas station

$c=2.80g$

This is a proportional relationship between the variables c and g

The constant of proportionality k or unit rate (slope) is equal to

$k=\ 2.80\ per\ gallon$

Second gas station

we have the ordered pairs

(2.5,8.30) and (5,16.60)

This is a proportional relationship between the variables c and g

The constant of proportionality k is equal to

$k=\frac{16.6}{5}=\ 3.32\ per\ gallon$

the linear equation is

$c=3.32g$

To find out how much per gallon would Billy save, subtract the unit rate of the Gas station 1 from the unit rate of the Gas station 2

so

$\ 3.32\ per\ gallon-\ 2.80\ per\ gallon=\ 0.52\ per\ gallon$